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Find the value of a for which the following function is continuous at a given point. `f(x)={("sin"[x])/([x+1]),\ for\ x >0(cospi/2[x])/([x]),\ for\ x<0\ a t\ x=0,\ \ a ,\ a t\ x=0` where `[x]` denotes the greatest less than or equal to `xdot`

A

equals to 0

B

equal to 1

C

equal to -1

D

indeterminate

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The correct Answer is:
A
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